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Q : When a positive integer n is divided by 5 the remainder is 2. What is the remainder when the number 3n is is divided by 5 ?
(A) 2
(B) 1
(C) 4
(D) 3
D and E are midpoints of side AB and AC respectively of the ΔABC. A line drawn from A meets BC at H and DE at K. AK : KH = ?
(A) 1 : 1
(B) 1: 2
(C) 2 : 1
(D) 3 : 2
A person lent certain sum of money at 5% per annum simple interest and in 15 years the interest amounted to Rs 250 less than the sum lent. What was the sum lent (in Rs)?
(A) 1500
(B) 1000
(C) 3000
(D) 2000
The simple and compound interest that can be earned in two years at the same rate is Rs 1500 and Rs 1575 respectively. What is the rate (% per annum) of interest?
(A) 12.5%
(B) 20%
(C) 10%
(D) 5%
If sec x + cos x = 2, then the value of sec16 x + cos16 x will be-
(A) 2
(B) 0
(C) 1
(D) √3
What is the simplified value of (1– sin A cos A)(sin A + cos A)?
(A)
(B) 0
(C)
(D)
The radius of circle is increased by 1%. How much does the area of the circle increased?
(A) 2.01%
(B) 3.302%
(C) 0.331%
(D) 2.02%
A solid sphere of diameter 7 cm is cut into two equal halves. What will be the increase (in cm.2) in the total surface area?
(A)
(B)
(C)
(D)
The length, breadth and height of a hall are 144 m, 180 m and 384 m respectively. The length of the longest scale that can measure the three dimensions of the hall exactly is:
(A) 30 m
(B) 12 m
(C) 15 m
(D) 25 m
In an alloy, the ratio of copper and zinc is 7 : 6. If 1,450 gm. of zinc mixed with in 14 kg 300gm. of an alloy, then the ratio of copper and zinc will be
(A) 26:27
(B) 22: 23
(C) 23:26
(D) 25: 21
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